Domain and Range from Equations? - Answers

The domain of an equation refers to the set of all possible input values (usually x-values) that can be used without causing any mathematical issues, such as division by zero or taking the square root of a negative number. The range, on the other hand, is the set of all possible output values (y-values) that can result from using the domain values in the equation. To find the domain and range, one typically analyzes the equation's structure and any restrictions imposed by its mathematical operations. For example, in the equation (y = \sqrt{x}), the domain is (x \geq 0) (since you can't take the square root of negative numbers), and the range is (y \geq 0).